Answer:
option 2
Step-by-step explanation:
the cosine rule is
cos A = b² + c² - a² / 2bc
so, A is x°
a is 41
b is 37
c is 63
solving the equation will give you the value of x°
Answer:
an = 3n - 3
Step-by-step explanation:
The nth term of an arithmetic progression is expressed as;
an = a + (n-1)d
a is the first term
n is the number of terms
d is the common difference
a8 = a + (8-1)d
a8 = a + 7d = 21 ....1
a10 = a+9d = 27 ....2
Subtract 1 from 2
7d - 9d = 21 - 27
-2d = -6
d = -6/-2
d = 3
Since a + 7d = 21
a + 7(3) = 31
a + 21 = 21
a = 21 - 21
a = 0
Get the nth term
Recall that an = a + (n-1)d
an = 0 + (n-1)*3
an = 3n - 3
Hence the nth term of the sequence is 3n - 3
Answer:
Jada: 1
Diego: 4/3
Lin: 10/3
Step-by-step explanation:
To find MAD, you calculate the mean of the data sets (which you were given in this case), and then find the distance of each number in the data set from the mean. You then write all the distances down, and then find the mean of THAT. Now you have your MAD.
Example (Jada)
Data set: 4,4,4,6,6,6
Mean: 5
Distances: 1,1,1,1,1,1
Mean of distances (and therefore the MAD):
(1+1+1+1+1+1) divided by 6 = 1
Answer:
2 3/5
Step-by-step explanation:
Simply change the 1st fraction into improper form:
17/5 - 4/5
Then subtract
13/5
Then write into mixed fraction
2 3/5
Answer:
A = 216 cm^2
P = 80 cm
Step-by-step explanation:
l = 12
w = 18
As the object is rectangular, the area is height * width and the perimeter is
2(height + width) as there are two of each side.
12 * 18 = 216 U^2 U = unit of measurement, I would presume for a poster you use cm so its 216 cm^2
12 + 18 = 40
40 * 2 = 80 cm
